TSTP Solution File: GRP186-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:30 EDT 2022
% Result : Unsatisfiable 21.99s 22.19s
% Output : Refutation 21.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 13:39:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 21.99/22.19 GeoParameters:
% 21.99/22.19
% 21.99/22.19 tptp_input = 1
% 21.99/22.19 tptp_output = 0
% 21.99/22.19 nonempty = 1
% 21.99/22.19 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.99/22.19 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 21.99/22.19
% 21.99/22.19
% 21.99/22.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.99/22.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.99/22.19
% 21.99/22.19 RuleSystem INPUT:
% 21.99/22.19
% 21.99/22.19 Initial Rules:
% 21.99/22.19 #0: input, references = 4, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #1: input, references = 4, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #2: input, references = 5, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V6,V7), V5 == V7 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #3: input, references = 4, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #4: input, references = 4, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #5: input, references = 4, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_greatest_lower_bound-{F}(V1,V4,V5), P_greatest_lower_bound-{F}(V1,V2,V6), P_greatest_lower_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #6: input, references = 3, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_least_upper_bound-{F}(V1,V4,V5), P_least_upper_bound-{F}(V1,V2,V6), P_least_upper_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #7: input, references = 3, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #8: input, references = 4, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #9: input, references = 4, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #10: input, references = 4, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #11: input, references = 5, size of lhs = 7:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #12: input, references = 5, size of lhs = 7:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #13: input, references = 3, size of lhs = 7:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #14: input, references = 5, size of lhs = 7:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #15: input, references = 4, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), V1 == V0 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #16: input, references = 4, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), V4 == V2 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #17: input, references = 5, size of lhs = 8:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V3,V6), P_inverse-{F}(V2,V7), P_multiply-{F}(V6,V7,V8), V5 == V8 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #18: input, references = 6, size of lhs = 9:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_least_upper_bound-{F}(V4,V0,V8), P_inverse-{F}(V2,V6), P_least_upper_bound-{F}(V6,V3,V7), P_multiply-{F}(V2,V7,V8) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #19: input, references = 11, size of lhs = 2:
% 21.99/22.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #20: input, references = 4, size of lhs = 0:
% 21.99/22.19 FALSE | EXISTS V0: P_identity-{T}(V0)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #21: input, references = 8, size of lhs = 1:
% 21.99/22.19 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #22: input, references = 10, size of lhs = 2:
% 21.99/22.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #23: input, references = 9, size of lhs = 2:
% 21.99/22.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #24: input, references = 4, size of lhs = 0:
% 21.99/22.19 FALSE | EXISTS V0: P_a-{T}(V0)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #25: input, references = 5, size of lhs = 0:
% 21.99/22.19 FALSE | EXISTS V0: P_b-{T}(V0)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 number of initial rules = 26
% 21.99/22.19
% 21.99/22.19 Simplifiers:
% 21.99/22.19 #26: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #27: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #28: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #29: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #30: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #31: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #32: unsound, references = 3, size of lhs = 3:
% 21.99/22.19 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 number of simplifiers = 7
% 21.99/22.19
% 21.99/22.19 Learnt:
% 21.99/22.19 #34: exists( #21, #15 ), references = 1, size of lhs = 1:
% 21.99/22.19 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #36: exists( #23, #9 ), references = 4, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #40: exists( #22, #8 ), references = 1, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #41: exists( #22, #12 ), references = 3, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #42: exists( #22, #14 ), references = 1, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #44: exists( #22, #3 ), references = 8, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #46: exists( #23, #4 ), references = 5, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #48: exists( #21, #16 ), references = 3, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3) | P_inverse-{T}(V3,V2)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #52: exists( #19, #0 ), references = 3, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #53: exists( #19, #1 ), references = 3, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #56: exists( #19, #2 ), references = 1, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_multiply-{T}(V1,V6,V5)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #57: exists( #19, #17 ), references = 1, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V4,V7) | P_multiply-{T}(V3,V7,V6)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #70: exists( #22, #10 ), references = 3, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #88: exists( #19, #12 ), references = 4, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_greatest_lower_bound-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #111: mergings( V3 == V4, V4 == V0, V0 == V5; #107 ), references = 1, size of lhs = 5:
% 21.99/22.19 P_a-{F}(V0), P_identity-{F}(V0), P_inverse-{F}(V0,V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #117: mergings( V1 == V2, V2 == V3, V3 == V4; #113 ), references = 1, size of lhs = 3:
% 21.99/22.19 P_a-{F}(V0), P_identity-{F}(V0), P_inverse-{F}(V0,V0) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #139: mergings( V2 == V4, V4 == V5; #136 ), references = 3, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V3), P_multiply-{F}(V2,V0,V4), V0 == V4 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #144: exists( #19, #14 ), references = 3, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_greatest_lower_bound-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #159: exists( #22, #5 ), references = 3, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V1,V5), P_greatest_lower_bound-{F}(V5,V2,V6) | P_greatest_lower_bound-{T}(V4,V3,V6)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #175: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #169 ), references = 1, size of lhs = 13:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), V0 == V3, P_multiply-{F}(V2,V4,V5), P_greatest_lower_bound-{F}(V4,V6,V7), P_multiply-{F}(V8,V9,V7), P_greatest_lower_bound-{F}(V9,V10,V11), P_multiply-{F}(V8,V10,V12), P_greatest_lower_bound-{F}(V6,V12,V13), P_multiply-{F}(V2,V13,V14), P_greatest_lower_bound-{F}(V5,V15,V12), P_greatest_lower_bound-{F}(V15,V7,V14) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #196: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #183 ), references = 1, size of lhs = 15:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), V0 == V3, P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V7,V8,V5), P_greatest_lower_bound-{F}(V9,V7,V10), P_multiply-{F}(V9,V8,V11), P_multiply-{F}(V2,V11,V12), P_greatest_lower_bound-{F}(V12,V6,V13), P_greatest_lower_bound-{F}(V4,V11,V14), P_greatest_lower_bound-{F}(V11,V14,V13), P_multiply-{F}(V10,V15,V14), P_greatest_lower_bound-{F}(V15,V8,V16) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #222: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21; #203 ), references = 1, size of lhs = 11:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2), P_multiply-{F}(V2,V3,V3), P_multiply-{F}(V3,V2,V3), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V5,V2,V4), P_multiply-{F}(V5,V4,V3), P_multiply-{F}(V5,V3,V2), P_multiply-{F}(V5,V0,V6), V0 == V6 | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #231: mergings( V3 == V4, V4 == V5, V5 == V6; #227 ), references = 1, size of lhs = 9:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V4), P_least_upper_bound-{F}(V4,V3,V3), P_multiply-{F}(V2,V5,V0), P_greatest_lower_bound-{F}(V6,V3,V5), P_multiply-{F}(V2,V6,V7) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #262: exists( #21, #17 ), references = 1, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V4,V6), P_multiply-{F}(V3,V6,V7) | P_inverse-{T}(V5,V7)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #299: mergings( V3 == V4, V4 == V5; #294 ), references = 1, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), V0 == V3, P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V2,V5,V4) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #379: exists( #19, #11 ), references = 2, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_least_upper_bound-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #404: exists( #23, #11 ), references = 2, size of lhs = 5:
% 21.99/22.19 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_least_upper_bound-{T}(V6,V7,V5)
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #412: mergings( V3 == V4, V4 == V5, V5 == V6; #408 ), references = 1, size of lhs = 13:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_least_upper_bound-{F}(V5,V3,V6), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V2,V8,V4), P_least_upper_bound-{F}(V7,V8,V6), P_least_upper_bound-{F}(V9,V10,V6), P_multiply-{F}(V2,V9,V11), P_multiply-{F}(V2,V10,V12) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #419: mergings( V6 == V10, V9 == V11, V3 == V4, V4 == V5, V5 == V10; #413 ), references = 1, size of lhs = 7:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V4), P_multiply-{F}(V2,V4,V0), P_multiply-{F}(V2,V3,V5) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #425: mergings( V6 == V9, V3 == V4, V4 == V5, V5 == V9; #420 ), references = 2, size of lhs = 6:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V4), P_multiply-{F}(V2,V4,V0) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #450: mergings( V2 == V4, V3 == V5; #447 ), references = 1, size of lhs = 4:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #454: mergings( V1 == V3, V2 == V4; #451 ), references = 1, size of lhs = 3:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #458: mergings( V1 == V3, V2 == V4; #455 ), references = 1, size of lhs = 2:
% 21.99/22.19 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 #461: exists( #20, #459 ), references = 1, size of lhs = 0:
% 21.99/22.19 FALSE | FALSE
% 21.99/22.19 (used 0 times, uses = {})
% 21.99/22.19
% 21.99/22.19 number of learnt formulas = 34
% 21.99/22.19
% 21.99/22.19
% 21.99/22.19 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.99/22.19
% 21.99/22.19 randbase = 1
%------------------------------------------------------------------------------